Atkin-Lehner |
2+ 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
55488j |
Isogeny class |
Conductor |
55488 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-64066128740352 = -1 · 215 · 34 · 176 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -4 -4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,8863,-215487] |
[a1,a2,a3,a4,a6] |
Generators |
[91:1156:1] |
Generators of the group modulo torsion |
j |
97336/81 |
j-invariant |
L |
4.1555176404847 |
L(r)(E,1)/r! |
Ω |
0.34336670873278 |
Real period |
R |
1.5127841221645 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000188 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55488bj3 27744bb2 192b4 |
Quadratic twists by: -4 8 17 |